Question

You are an optical-fibre manufacturer and you want to market your product for usage in the medical field.

- Prepare a written sales pitch for potential clients that explains features of the design of your fibre that support how light is transmitted in the fibre, the efficiency in light transmission, safe usage in the human body and the generation of images of good quality. You may wish to include diagrams to aid in your response.

Using reasonable values for the indices of refraction for the core and cladding of your optical fibre, and considering that the end of the fibre receiving the incoming light is located in air \(\left(n_{0}=1\right)\)

o determine and state the numerical aperture and the value of \(\theta_{\text {lim}}\) for your optical fibre (show working):

o use this information to (as an example for your potential clients) select an appropriate value for \(\theta_{0}\), the angle of incidence of light from air into the core of the fibre, that will cause the occurrence of total internal reflection at the core-cladding interface. Show that this is actually the case! Include this information as part of your sales pitch.